Finding the Fourth Proportional to 2,537.10, 3,805.71 and 805.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.10 : 3,805.71 = 805.71 : x
2. Step 2: Convert to fraction form
   2,537.10/3,805.71 = 805.71/x
3. Step 3: Cross multiply
   2,537.10x = 3,805.71 × 805.71
4. Step 4: Simplify right side
   2,537.10x = 3,066,298.60
5. Step 5: Solve for x
   x = 3,066,298.60/2,537.10
6. Step 6: Final answer
   x = 1,208.58